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132071006454000 = 2435341952534211
BaseRepresentation
bin11110000001111000101101…
…011011001100000011110000
3122022121212100112000201221120
4132001320231123030003300
5114302322410123012000
61144520325513422240
736550546442130435
oct3601705533140360
9568555315021846
10132071006454000
1139099aaa071949
12129902b4a0a980
13589031c9208c3
1424883b11b1b8c
15104070b1e06a0
hex781e2d6cc0f0

132071006454000 has 160 divisors (see below), whose sum is σ = 426813154709760. Its totient is φ = 35134879648000.

The previous prime is 132071006453987. The next prime is 132071006454011. The reversal of 132071006454000 is 454600170231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23753106 + ... + 28781105.

It is an arithmetic number, because the mean of its divisors is an integer number (2667582216936).

Almost surely, 2132071006454000 is an apocalyptic number.

132071006454000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132071006454000 is an abundant number, since it is smaller than the sum of its proper divisors (294742148255760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132071006454000 is a wasteful number, since it uses less digits than its factorization.

132071006454000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52534656 (or 52534640 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 132071006454000 in words is "one hundred thirty-two trillion, seventy-one billion, six million, four hundred fifty-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 419 500 600 750 838 1000 1200 1257 1500 1676 2000 2095 2514 3000 3352 4190 5028 6000 6285 6704 8380 10056 10475 12570 16760 20112 20950 25140 31425 33520 41900 50280 52375 62850 83800 100560 104750 125700 157125 167600 209500 251400 314250 419000 502800 628500 838000 1257000 2514000 52534211 105068422 157602633 210136844 262671055 315205266 420273688 525342110 630410532 788013165 840547376 1050684220 1260821064 1313355275 1576026330 2101368440 2521642128 2626710550 3152052660 3940065825 4202736880 5253421100 6304105320 6566776375 7880131650 10506842200 12608210640 13133552750 15760263300 19700329125 21013684400 22011834409 26267105500 31520526600 39400658250 44023668818 52534211000 63041053200 66035503227 78801316500 88047337636 105068422000 110059172045 132071006454 157602633000 176094675272 220118344090 264142012908 315205266000 330177516135 352189350544 440236688180 528284025816 550295860225 660355032270 880473376360 1056568051632 1100591720450 1320710064540 1650887580675 1760946752720 2201183440900 2641420129080 2751479301125 3301775161350 4402366881800 5282840258160 5502958602250 6603550322700 8254437903375 8804733763600 11005917204500 13207100645400 16508875806750 22011834409000 26414201290800 33017751613500 44023668818000 66035503227000 132071006454000